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Simplifying -9(x + -32) = 7(x + 20) Reorder the terms: -9(-32 + x) = 7(x + 20) (-32 * -9 + x * -9) = 7(x + 20) (288 + -9x) = 7(x + 20) Reorder the terms: 288 + -9x = 7(20 + x) 288 + -9x = (20 * 7 + x * 7) 288 + -9x = (140 + 7x) Solving 288 + -9x = 140 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 288 + -9x + -7x = 140 + 7x + -7x Combine like terms: -9x + -7x = -16x 288 + -16x = 140 + 7x + -7x Combine like terms: 7x + -7x = 0 288 + -16x = 140 + 0 288 + -16x = 140 Add '-288' to each side of the equation. 288 + -288 + -16x = 140 + -288 Combine like terms: 288 + -288 = 0 0 + -16x = 140 + -288 -16x = 140 + -288 Combine like terms: 140 + -288 = -148 -16x = -148 Divide each side by '-16'. x = 9.25 Simplifying x = 9.25
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